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A logical function can be used to characterize a property of states of a Boolean network (BN), which is considered as an aggregation of states. The dynamics of a set of logical functions are called th...
In this paper, we are concerned with the optimal control problems for a class of systems with fast-slow processes. The problem under consideration is to minimize a functional subject to a system descr...
This paper develops a singularity-free adaptive tracking control scheme for a general class of multi-input and multi-output uncertain discrete-time nonlinear systems with non-canonical control gain ma...
In this paper, we consider optimization problems over closed embedded submanifolds of \mathbb{R}^n, which are defined by the constraints c(x)=0. We propose a class of constraint dissolving approaches ...
Let T=(V,A) be a tournament with a nonnegative integral weight w(e) on each arc e. A subset F of arcs is called a feedback arc set (FAS) if T\F contains no cycles (directed). A collection F of FASs (w...
Input design is an important problem for system identification and has been well studied for the classical system identification, i.e., the maximum likelihood/prediction error method. For the emerging...
We introduce a twice differentiable augmented Lagrangian for nonlinear optimization with general inequality constraints and show that a strict local minimizer of the original problem is an approximate...
We develop a new stochastic analysis approach to the lattice Yang-Millsmodel at strong coupling in any dimension d > 1, with t' Hooft scaling beta N for theinverse coupling strength. We study their La...
This paper is concerned with Smith forms of bivariate polynomial matrices. For a bivariate polynomial square matrix with the determinant being the product of two distinct and irreducible univariate po...
We proved that there exists a unique invariant measure for solutions of stochastic conservation laws with Dirichlet boundary condition driven by multiplicative noise. Moreover, a polynomial mixing pro...
We revisit the Harder-Narasimhan stratification on a minuscule padic flag variety, by the theory of modifications of G-bundles on the FarguesFontaine curve. We compare the Harder-Narasimhan strata wit...
In a previous paper, the first and third authors gave an explicit realization of the geometric Langlands correspondence for hypergeometric sheaves, considered as GL(n)-local systems. Certain hypergeom...
We prove that every rigid C*-bicategory with finite -dimensional centers (finitely decomposable horizontal units) can be realized as Connes' bimodules over finite direct sums of II_1 factors. In parti...
This note focuses on the convergence problem of a distributed recursive least squares (RLS) estimator, which converges fast in many circumstances. We find that the convergence behavior of this distrib...
In this paper, we consider boundary output regulation for one-dimensional reaction–diffusion equation that has disturbances entering the system from in-domain and both boundaries. The reference signal...

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